Rates and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity, often expressed as 'per' something.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

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Back

Front

What is the formula to calculate speed?

Back

Front

How do you find the price per gallon of gas?

Back

To find the price per gallon, divide the total cost by the number of gallons. For example, if it costs $46.80 to fill a 13-gallon tank, the price per gallon is $46.80 ÷ 13 = $3.60.

Front

What is the cost per pound if a watermelon costs $3.24 for 3 pounds?

Back

To find the cost per pound, divide the total cost by the number of pounds. So, $3.24 ÷ 3 = $1.08 per pound.

Front

Define proportion in mathematics.

Back

Front

What is the relationship between rates and proportions?

Back

Rates are a specific type of ratio that compares two quantities with different units, while proportions show that two ratios are equivalent. Understanding rates helps in solving proportion problems.

Front

How can you convert a fraction to a decimal?

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Front

What is the significance of unit rates in real-life situations?

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Unit rates help compare prices, speeds, and other quantities, making it easier to make informed decisions, such as finding the best deal or understanding travel times.